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dezoksy [38]
3 years ago
8

If you deposit $5,000 in an account that earns 2% interest, compounded continuously, how much money will be in the account after

seven years?
$5,751.37

$5,743.43

$5.101.01

None of the above
Mathematics
1 answer:
Ksivusya [100]3 years ago
5 0

Answer:

$5751.37

Step-by-step explanation:

The key phrase here is "compounded continuously".  This phrase tells you that you must use the following equation:


A=Pe^{rt}

Where A is the final amount, P is the principal amount, e is the exponential constant, r is the rate in decimals and t is time.  By plugging in our known values given we obtain:


A=5000e^{0.02 \times 7}=5751.37

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Anastaziya [24]

Answer:

the value of 8 in the first one is 8

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7 0
3 years ago
Given: cos θ=-4/5, sin x = -12/13, θ is in the third quadrant, 
USPshnik [31]

By definition of tangent,

tan(2<em>θ</em>) = sin(2<em>θ</em>) / cos(2<em>θ</em>)

Recall the double angle identities:

sin(2<em>θ</em>) = 2 sin(<em>θ</em>) cos(<em>θ</em>)

cos(2<em>θ</em>) = cos²(<em>θ</em>) - sin²(<em>θ</em>) = 2 cos²(<em>θ</em>) - 1

where the latter equality follows from the Pythagorean identity, cos²(<em>θ</em>) + sin²(<em>θ</em>) = 1. From this identity we can solve for the unknown value of sin(<em>θ</em>):

sin(<em>θ</em>) = ± √(1 - cos²(<em>θ</em>))

and the sign of sin(<em>θ</em>) is determined by the quadrant in which the angle terminates.

<em />

We're given that <em>θ</em> belongs to the third quadrant, for which both sin(<em>θ</em>) and cos(<em>θ</em>) are negative. So if cos(<em>θ</em>) = -4/5, we get

sin(<em>θ</em>) = - √(1 - (-4/5)²) = -3/5

Then

tan(2<em>θ</em>) = sin(2<em>θ</em>) / cos(2<em>θ</em>)

tan(2<em>θ</em>) = (2 sin(<em>θ</em>) cos(<em>θ</em>)) / (2 cos²(<em>θ</em>) - 1)

tan(2<em>θ</em>) = (2 (-3/5) (-4/5)) / (2 (-4/5)² - 1)

tan(2<em>θ</em>) = 24/7

4 0
3 years ago
What is Add and Simply 7/4 + 5/6 =
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and
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Then just add, 

42/24
+
30/24

Making it 72/24.

72/24=3

Thus, your answer is, 3.

5 0
3 years ago
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miv72 [106K]

Answer:

B.

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3 0
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snow_tiger [21]
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